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Finding the Fourth Proportional to 569.39, 849.34 and 514.67

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Solution

The fourth proportional to 569.39, 849.34 and 514.67 is: 767.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.39 : 849.34 = 514.67 : x
  2. Step 2: Convert to fraction form
    569.39/849.34 = 514.67/x
  3. Step 3: Cross multiply
    569.39x = 849.34 × 514.67
  4. Step 4: Simplify right side
    569.39x = 437,126.21
  5. Step 5: Solve for x
    x = 437,126.21/569.39
  6. Step 6: Final answer
    x = 767.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.